SOLUTION: Please help me solve this word problem.... A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 3 gallons of a mixture that is 30 parts gasoline a

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Question 988509: Please help me solve this word problem....
A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 3 gallons of a mixture that is 30 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 50 parts gasoline and 1 part oil?
Found 3 solutions by josgarithmetic, josmiceli, MathTherapy:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
Take the viewpoint of fraction as gasoline.
Your forester wants gasoline result.

Let g be the amount of gasoline in gallons to add.


If the equation makes sense, then next need just solve for g.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = gallons of gasoline to be added
so that [ gasoline ] / [ oil ] =
------------------------------------
To start with:
[ gasoline] / [ oil ] =
The gasoline is gallons
The oil is gallons
-------------------------------------
Note that and
gallons as it should
-------------------------------------
I can say:




60/31 gallons of gasoline must be added to mixture
-------------------
check:


Multiply top anfd bottom of left side by


OK
hope I got it
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!


Mixture: 3 gallons of 30:1 (gasoline to oil)
Please help me solve this word problem....
A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 3 gallons of a mixture that is 30 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 50 parts gasoline and 1 part oil? 
Let the multiplicative factor be x

Then, 30x + x = 3

31x = 3



Amount of gasoline: , or 

Amount of oil: 



Let amount of gasoline to add, be G

Then: 







90 + 31G = 150 ---- Cross-multiplying

31G = 150 - 90

31G = 60

G, or gas to add =  gallons 

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